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A Caffarelli–Kohn–Nirenberg type inequality on Riemannian manifolds

✍ Scribed by Yuri Bozhkov

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 248 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.05.004

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✦ Synopsis

We establish a generalization to Riemannian manifolds of the Caffarelli-Kohn-Nirenberg inequality. The applied method is based on the use of conformal Killing vector fields and E. Mitidieri's approach to Hardy inequalities.

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